JEE Main & Advanced Sample Paper JEE Main - Mock Test - 25

  • question_answer
    If X, Y and Z in figure are identical lamps, which of the following changes to the brightness of the lamps occur when switch S is closed?

    A) X stays the same, Y decreases.                       

    B) X increases, Y decreases

    C) X increases, Y stays the same                         

    D) X decreases, Y increases

    Correct Answer: B

    Solution :

    [b] \[P=\frac{{{V}^{2}}}{R}\] Initially,  \[I=\frac{V}{2R}\] Power across \[{{P}_{X}}={{P}_{Y}}=\left( \frac{{{V}^{2}}}{4R} \right)R\] Finally,  \[I=\frac{2V}{3R},\] Power \[{{P}_{x}}=\frac{4{{V}^{2}}}{9R},\] \[{{P}_{y}}={{P}_{z}}=\frac{2{{V}^{2}}}{9R}\] Hence P increases, \[{{P}_{y}}\] decreases.


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